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CN106897545B - A kind of tumor prognosis forecasting system based on depth confidence network - Google Patents

A kind of tumor prognosis forecasting system based on depth confidence network Download PDF

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CN106897545B
CN106897545B CN201710007736.5A CN201710007736A CN106897545B CN 106897545 B CN106897545 B CN 106897545B CN 201710007736 A CN201710007736 A CN 201710007736A CN 106897545 B CN106897545 B CN 106897545B
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CN106897545A (en
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李劲松
池胜强
童丹阳
王昱
周天舒
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Zhejiang University ZJU
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Abstract

The invention discloses a kind of tumor prognosis forecasting systems based on depth confidence network, comprising: for acquiring the data acquisition module of tumor information;For carrying out the data preprocessing module of missing values processing and normalized to tumour initial data;Data for carrying out deep learning and prediction modeling to tumour data learn prediction module;Prediction result display module for showing the relative risk of data study prediction module output;The present invention is limited Boltzmann machine using Gauss, retains the nonlinear characteristic of data;It, can be with flexible expansion depth confidence network according to the accuracy of the dimension of input data, the quantity of output category, model;During model training, any restrictions are not used and it is assumed that variable can sufficiently be excavated to the interaction between the influence mode and variable of result, show the mode that different factors influence tumor prognosis comprehensively, and improve the accuracy of tumor prognosis prediction.

Description

A kind of tumor prognosis forecasting system based on depth confidence network
Technical field
The present invention relates to tumour forecasting system more particularly to a kind of tumor prognosis forecasting systems based on depth confidence network
Background technique
The morbidity and mortality of cancer are high, have become the main reason for mankind are because of disease death.With the size of population Growth and aging of population development, cancer bring Disease Spectrum further increases, and becomes current medical expense branch Most paid.Tumor prognosis forecast analysis can provide the prognosis information for being used for disease treatment to clinician, help to control The formulation for the treatment of scheme improves disease cured rate, improves patient's prognosis quality of life, Disease Spectrum is effectively reduced, for cancer Control and therapeutic potential are great.American cancer federation release based on tumor invasive depth, lymph node, DISTANT METASTASES IN TNM In the cancer clinical practice of Staging System worldwide, it is widely applied, is the weight of guiding treatment and clinical research Want tool.But it is many newest the study found that TNM stage cannot existence final result difference to the patient of different tumoral characters It distinguishes.Neural network can sufficiently approach arbitrarily complicated non-linear relation, study and adaptive unknown and not really with it Fixed system, with robustness and fault-tolerance, qualitatively and quantitatively data can be handled simultaneously and can large-scale parallel distribution process Advantage is used widely in tumor prognosis forecast analysis.
Generally existing censored data in tumor prognosis data, censored data are not missing data, but are only capable of providing starting point To the prognosis information of truncated time, the deficiency of data for the complete information that starting point occurs to event cannot be provided.It is existing to be based on The tumor prognosis prediction analysis method of neural network, or censored data cannot be made full use of;Or making full use of censored data In the case of, it not can effectively solve the Time Dependent and nonlinear problem of Prognostic Factors;Or obtained survivorship curve is not in monotonicity; Or constructed neural network does not have scalability, is unfavorable for the large scale processing of mass data.
Deep learning is the popular domain of current machine Learning Studies, because it is with autonomous feature learning ability and high precision Property be applied to many fields, including speech recognition, image procossing, natural language processing and personage's portrait etc., but current depth Study is also seldom applied to tumor prognosis forecast analysis field.
Summary of the invention
In view of the above-mentioned deficiencies in the prior art, it is an object of the present invention to provide a kind of tumor prognosis based on depth confidence network Forecasting system improves prediction analysis method neural network based using the depth confidence network algorithm in deep learning field, In the case where making full use of censored data, the Time Dependent and nonlinear problem of Prognostic Factors are effectively solved, improves tumor prognosis The accuracy of prediction, auxiliary doctor formulate the treatment plan of patient;The depth confidence network of building is with good expansibility, Conducive to the large scale processing of mass data.
The purpose of the present invention is achieved through the following technical solutions: a kind of tumor prognosis based on depth confidence network Forecasting system, the system include: the data acquisition module for acquiring tumor information;For being lacked to tumour initial data The data preprocessing module of value processing and normalized;For tumour data to be carried out with the data of deep learning and prediction modeling Learn prediction module;Prediction result display module for showing the relative risk of data study prediction module output; The treatment process of the data study prediction module includes two parts: being primarily based on the unsupervised training method of deep learning, benefit Similar patients are clustered with patient characteristic, secondly utilize similar patients group, calculate accumulative risk function, specific steps are such as Under:
(1) similar patients are clustered using depth confidence network model
(1.1) assume that patient populations are n, patient characteristic quantity is m, it is seen that layer variable is vi, i=1 ..., m, hidden layer Variable is hj, j=1 ..., g, wherein m is the quantity of visible layer variable, and g is the quantity of hidden layer variable;wijIt is visible layer variable viWith hidden layer variable hjBetween connection weight, then, it is seen that connection weight matrix W=(w between layer and hidden layerij)m×g;It can See the biasing a=(a of layer variable1,…,am), the biasing b=of hidden layer variable (1,…,bg)。
(1.2) Gauss RBM model is constructed: because the characteristic of patient is often some continuous variables or orderly becomes Therefore amount, rather than simple two-category data replace simple RBM model using Gauss RBM model, to retain data Nonlinear characteristic.Energy function E (v, the h of Gauss RBM model;θ) are as follows:
Wherein, θ=(a, b, W, σ) indicates the setting parameter of model, σ=(σ1,…,σm) indicate visible layer variable Gauss Noise.The condition of Gauss RBM is distributed are as follows:
Wherein, N (μ, σ2) expression mean value be μ, standard deviation be σ Gaussian Profile.The edge distribution of visible layer v are as follows:
Wherein, θ=(a, b, W, σ) indicates the setting parameter of model.Using gradient descent method adjusting parameter, make input with it is defeated Error out is minimum, by meeting following formula, obtains the optimal parameter of model:
Wherein, Z (θ) is normaliztion constant.
(1.3) in training, depth confidence network is using successively unsupervised method come learning parameter.First visible layer V and hidden layer h1 trains the parameter W of this RBM as a limited Boltzmann machine RBM1;Then, W is kept1It is constant, H1 trains the parameter W of second RBM using h2 as hidden layer as a visible layer2;Then, W is kept2It is constant, h2 is made The parameter W of third RBM is trained using h3 as hidden layer for a visible layer3;And so on, it trains complicated by more The depth confidence network that layer RBM is stacked.In training process, the interaction between dominated variable and variable be not to classification results Influence form.
(1.4) because the value of hidden layer variable is two-value type data, all hidden layers that we can use top become The value of amount is classified for one belonging to patient to determine;If top has n hidden layer variable, patient is divided into 2n Class.
(1.5) increase patient populations, have no need to change network settings;Increase patient characteristic, increases visible layer in a network The quantity of variable;Patient classification's quantity is adjusted, modifies the variable quantity of top hidden layer in a network;Adjust the accurate of model Degree, thus it is possible to vary the number of plies of hidden layer.
(2) similar patients group is utilized, calculate accumulative risk function: patient i has m input feature vector, is denoted as Xi, in step Patient i obtains unique classification c, c ∈ P in 1;P is to own using depth confidence network model to what similar patients clustered Category set;In time t, and the accumulative risk function H of patient i (t | Xi) be exactly c classification Nelson-Aalen estimated value:
Wherein, dl,cIt indicates in time tl,c, the death toll of patient in c classification;rl,cIt indicates in time tl,c, in c classification Patient there are the numbers of risk;t1,c< t2,c< ... < tN(c),cIndicate a different event time of N (c) in c classification;
(T1,c,s1,c),…,(Tn(c),c,sn(c),c) indicate c classification in all patients life span and survival condition, n (c) total quantity of c class patient is indicated;To a patient i, if si,c=0, then the patient is in time Ti,cBelong to censored data (survival or lost to follow-up);If si,c=1, then the patient is in time Ti,cOccur result event (death);Patient i is in time tl,c's Survival conditionWherein I () is indicator function, works as Ti,c< tl,cWhen,Work as Ti,c ≥tl,cWhen,Then in time tl,c, there are the number r of risk in c classificationl,c=rl-1,c-dl-1,c, death tollWherein r0,c=n (c), d0,c=0.
The beneficial effects of the present invention are:
1) it is limited Boltzmann machine using Gauss, retains the nonlinear characteristic of data;
It 2), can be with flexible expansion depth confidence according to the accuracy of the dimension of input data, the quantity of output category, model Network;
3) during model training, any restrictions are not used and it is assumed that variable can sufficiently be excavated to the influence side of result Interaction between formula and variable shows the mode that different factors influence tumor prognosis comprehensively, and improves tumor prognosis The accuracy of prediction;
4) on the basis of clustering using depth confidence network to patient, principle is retained based on event, using Nelson- Aalen estimation function calculates the accumulative risk function of patient, guarantees that monotonicity is presented in output survivorship curve.
Detailed description of the invention
Fig. 1 is that the present invention is based on the tumor prognosis forecasting system frame diagrams of depth confidence network;
Fig. 2 is the tumor prognostic analysis algorithm flow chart based on depth confidence network;
Fig. 3 is depth confidence network model.
Specific embodiment
Invention is further described in detail in the following with reference to the drawings and specific embodiments.
Censored data in the present invention are as follows: if the data for result event do not occur are referred to as in the defined end time For censored data, the time from starting point to truncation is known as truncated time.Time Dependent phenomenon are as follows: no matter baseline risk, It is constant there are the opposite risk there is no the individual generation event of the exposure of the individual of a certain exposure in any time point; Prognostic Factors do not meet the phenomenon that above-mentioned hypothesis, and being regarded as influence of the Prognostic Factors to tumor prognosis, there are Time Dependents.
As shown in Figure 1, a kind of tumor prognosis forecasting system based on depth confidence network provided by the invention, comprising: use In the data acquisition module of acquisition tumor information;For carrying out the number of missing values processing and normalized to tumour initial data Data preprocess module;Data for carrying out deep learning and prediction modeling to tumour data learn prediction module;For that will count The prediction result display module shown according to the relative risk of study prediction module output;The data study prediction module Treatment process includes two parts: be primarily based on the unsupervised training method of deep learning, using patient characteristic to similar patients into Row cluster, secondly utilizes similar patients group, calculates accumulative risk function, as shown in Figure 2, the specific steps are as follows:
(1) similar patients are clustered using depth confidence network model, depth confidence network model is as shown in Figure 3;
(1.1) assume that patient populations are n, patient characteristic quantity is m, it is seen that layer variable is vi, i=1 ..., m, hidden layer Variable is hj, j=1 ..., g, wherein m is the quantity of visible layer variable, and g is the quantity of hidden layer variable;wijIt is visible layer variable viWith hidden layer variable hjBetween connection weight, then, it is seen that connection weight matrix W=(w between layer and hidden layerij)m×g;It can See the biasing a=(a of layer variable1,…,am), the biasing b=(b of hidden layer variable1,…,bg)。
(1.2) Gauss RBM model is constructed: because the characteristic of patient is often some continuous variables or orderly becomes Therefore amount, rather than simple two-category data replace simple RBM model using Gauss RBM model, to retain data Nonlinear characteristic.Energy function E (v, the h of Gauss RBM model;θ) are as follows:
Wherein, θ=(a, b, W, σ) indicates the setting parameter of model, σ=(σ1,…,σm) indicate visible layer variable Gauss Noise.The condition of Gauss RBM is distributed are as follows:
Wherein, N (μ, σ2) expression mean value be μ, standard deviation be σ Gaussian Profile.The edge distribution of visible layer v are as follows:
Wherein, θ=(a, b, W, σ) indicates the setting parameter of model.Using gradient descent method adjusting parameter, make input with it is defeated Error out is minimum, by meeting following formula, obtains the optimal parameter of model:
Wherein, Z (θ) is normaliztion constant.
(1.3) in training, depth confidence network is using successively unsupervised method come learning parameter.First visible layer V and hidden layer h1 trains the parameter W of this RBM as a limited Boltzmann machine RBM1;Then, W is kept1It is constant, H1 trains the parameter W of second RBM using h2 as hidden layer as a visible layer2;Then, W is kept2It is constant, h2 is made The parameter W of third RBM is trained using h3 as hidden layer for a visible layer3;And so on, it trains complicated by more The depth confidence network that layer RBM is stacked.In training process, the interaction between dominated variable and variable be not to classification results Influence form.
(1.4) because the value of hidden layer variable is two-value type data, all hidden layers that we can use top become The value of amount is classified for one belonging to patient to determine;If top has n hidden layer variable, patient is divided into 2n Class.
(1.5) increase patient populations, have no need to change network settings;Increase patient characteristic, increases visible layer in a network The quantity of variable;Patient classification's quantity is adjusted, modifies the variable quantity of top hidden layer in a network;Adjust the accurate of model Degree, thus it is possible to vary the number of plies of hidden layer.
(2) similar patients group is utilized, calculate accumulative risk function: patient i has m input feature vector, is denoted as Xi, in step Patient i obtains unique classification c, c ∈ P in 1;P is to own using depth confidence network model to what similar patients clustered Category set;In time t, and the accumulative risk function H of patient i (t | Xi) be exactly c classification Nelson-Aalen estimated value:
Wherein, dl,cIt indicates in time tl,c, the death toll of patient in c classification;rl,cIt indicates in time tl,c, in c classification Patient there are the numbers of risk;t1,c< t2,c< ... < tN(c),cIndicate a different event time of N (c) in c classification;
(T1,c,s1,c),…,(Tn(c),c,sn(c),c) indicate c classification in all patients life span and survival condition, n (c) total quantity of c class patient is indicated;To a patient i, if si,c=0, then the patient is in time Ti,cBelong to censored data (survival or lost to follow-up);If si,c=1, then the patient is in time Ti,cOccur result event (death);Patient i is in time tl,c's Survival conditionWherein I () is indicator function, works as Ti,c< tl,cWhen,Work as Ti,c ≥tl,cWhen,Then in time tl,c, there are the number r of risk in c classificationl,c=rl-1,c-dl-1,c, death tollWherein r0,c=n (c), d0,c=0.The death rate of patient iWith dead Rate is died, survivorship curve can be drawn.
The present invention utilizes the depth confidence network algorithm in deep learning field, improves forecast analysis side neural network based Method effectively solves the Time Dependent and nonlinear problem of Prognostic Factors in the case where making full use of censored data, improves tumour The accuracy of prognosis prediction, auxiliary doctor formulate the treatment plan of patient;Guarantee that monotonicity is presented in obtained survivorship curve simultaneously, The depth confidence network of building is with good expansibility, conducive to the large scale processing of mass data.

Claims (1)

1. a kind of tumor prognosis forecasting system based on depth confidence network, which is characterized in that the system includes: swollen for acquiring The data acquisition module of tumor information;For carrying out the data prediction of missing values processing and normalized to tumour initial data Module;Data for carrying out deep learning and prediction modeling to tumour data learn prediction module;It is pre- for learning data Survey the prediction result display module that the relative risk of module output is shown;The treatment process of the data study prediction module Including two parts: it is primarily based on the unsupervised training method of deep learning, similar patients are clustered using patient characteristic, It is secondary to utilize similar patients group, calculate accumulative risk function, the specific steps are as follows:
(1) similar patients are clustered using depth confidence network model
(1.1) assume that patient populations are N, patient characteristic quantity is M, it is seen that layer variable is vi, i=1 ..., m, hidden layer variable For hj, j=1 ..., g, wherein m is the quantity of visible layer variable, and g is the quantity of hidden layer variable, it is seen that the quantity m of layer variable Equal to patient characteristic quantity M;wijIt is visible layer variable viWith hidden layer variable hjBetween connection weight, then, it is seen that layer and hide Connection weight matrix W=(w between layerij)m×g;Visible layer variable is biased to ai, i=1 ..., m, it is seen that layer variable it is inclined It sets vector and is denoted as a=(a1..., am), hidden layer variable is biased to bj, j=1 ..., g, the bias vector of hidden layer variable It is denoted as b=(b1..., bg);
(1.2) Gauss RBM model is constructed: because the characteristic of patient is often some continuous variables or ordered set, Rather than therefore simple two-category data replaces simple RBM model using Gauss RBM model, to retain the non-of data Linear character;Energy function E (v, the h of Gauss RBM model;θ) are as follows:
Wherein, θ=(a, b, W, σ) indicates the setting parameter of model, σ=(σ1..., σm) indicate that the Gauss of visible layer variable makes an uproar Sound;The condition of Gauss RBM is distributed are as follows:
Wherein, N (μ, p2) expression mean value be μ, standard deviation be p Gaussian Profile;The edge distribution of visible layer v are as follows:
Wherein, θ=(a, b, W, σ) indicates the setting parameter of model;Using gradient descent method adjusting parameter, make input and output Error is minimum, by meeting following formula, obtains the optimal parameter of model:
Wherein, Z (θ) is normaliztion constant;
(1.3) in training, depth confidence network is using successively unsupervised method come learning parameter;First visible layer v and Hidden layer h1 trains the parameter W of this RBM as a limited Boltzmann machine RBM1;Then, W is kept1It is constant, h1 is made The parameter W of second RBM is trained using h2 as hidden layer for a visible layer2;Then, W is kept2It is constant, using h2 as one A visible layer trains the parameter W of third RBM using h3 as hidden layer3;And so on, it trains complicated by multilayer The depth confidence network that RBM is stacked;In training process, the not shadow of the interaction between dominated variable and variable to classification results The form of sound;
(1.4) because the value of hidden layer variable is two-value type data, using the value of all hidden layer variables of top come really Determine a classification belonging to patient;If top has n hidden layer variable, patient is divided into 2nClass;
(1.5) increase patient populations, have no need to change network settings;Increase patient characteristic, increases visible layer variable in a network Quantity;Patient classification's quantity is adjusted, modifies the variable quantity of top hidden layer in a network;The accuracy of model is adjusted, It can change the number of plies of hidden layer;
(2) similar patients group is utilized, calculate accumulative risk function: patient i has m input feature vector, is denoted as Xi, suffer from step 1 Person i obtains unique classification c, c ∈ P;P is all categories collection clustered using depth confidence network model to similar patients It closes;In time t, and the accumulative risk function H of patient i (t | Xi) be exactly c classification Nelson-Aalen estimated value:
Wherein, dL, cIt indicates in time tL, c, the death toll of patient in c classification;rL, cIt indicates in time tL, c, patient in c classification There are the numbers of risk;t1, c< t2, c< ... < tN (c), cIndicate a different event time of N (c) in c classification;
(T1, c, s1, c) ..., (TN (c), c, sN (c), c) indicate c classification in all patients life span and survival condition, n (c) table Show the total quantity of c class patient;To a patient i, if sI, c=0, then the patient is in time TI, cBelong to censored data;If sI, c=1, then the patient is in time TI, cThere is result event;Remember that patient i is in time t in c classificationL, cSurvival condition beThenWherein I () is indicator function, works as TI, c< tL, cWhen,Work as TI, c ≥tL, cWhen,Then in time tL, c, there are the number r of risk in c classificationL, c=rL-1, c-dL-1, c, death tollWherein r0, c=n (c), d0, c=0.
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